(1) Beijing Agricultural Engineering University, 100083 Beijing, China
Abstract:
This paper investigates the random responses of a TDOF structure with strongly nonlinear coupling and parametric vibration.
With the nonlinear coupling of inertia in the equations of motion of the system being removed by successive elimination, the
non-Gaussian moment equation method (NGM) is applied and 69 moment equations are integrated with central cumulative truncation
technique. The stochastic central difference-cum-statistical linearization method(SCD-SL) and the digital simulation method(DSM)
are also used. A comparison of results by different methods are given and the SCD-SL method is the most efficient method.
The project supported by National Natural Science Foundation of China